w = amount she earns for her work.
twice that is 2*w, or 2w.
6 more than that is 2w + 6.
Solving Systems of Equations
#1 y = 3x - 7 and y = -x + 1 (2, -1)
#2 8x + 2y = -2 and y = -5x + 1 (2, -9)
#3 4x + y = 8 and -3x - y = 0 (8, -24)
#4 2x + 5y = 20 and 3x - 10y = 37 (11, -0.4)
#5 3x + 2y = -10 and 2x - 5y = 7 (-1.5, -2)
Simplifying Exponents
#1 c^3v^9c^-1c^0 (pg. 467 #3) c^2v^9
#2 2y^-9h^2(2y^0h^-4)^-6 (pg. 467 #4) h^26/32y^9
#3 (a^3/5m)^-4 (pg. 467 #2) 625m^4/a^12
#4 (-3q^-1)^3q^2 (pg. 467 #6) -27/q
#5 (12a^-1b^6c^-3)/(4a^5b^-1c^5) (pg. 443 #23) 3b^7/a^6c^8
Scientific Notation
#1 Write in standard form: 4.25 * 10^-6 .00000425
#2 Write in scientific notation: 375,000,000,000,000 3.75 * 10^14
#3 Write in scientific notation: .000000000107 1.07 * 10^-10
#4 Simplify and write in scientific notation: (6*10^4)(4.8*10^9) 2.88*10^14
#5 Simplify and write in scientific notation: (1.5*10^7)/(5*10^-2) 3.0*10^8
Exponential Growth and Decay
#1 Identify whether the function represents growth or decay. Identify the growth or decay factor. y = 5.2 * 3^x exponential growth; 3
#2 Identify whether the function represents growth or decay. Identify the growth or decay factor. y = 0.15(3/2)^x exponential growth; 3/2
#3 Identify whether the function represents growth or decay. Identify the growth or decay factor. y = 7*0.32^x exponential decay; 0.32
#4 A customer deposits $2000 in a savings account that pays 5.2% interest compounded quarterly. How much money will the customer have in the account after 2 years? $2,217.71
#5 A band performs a free concert in a local park. There are 200 people in the crowd at the start of the concert. The number of people in the crowd grows 15% every half hour. How many people are in the crowd after 3 hours? 463 people
Permutations, Combinations, Probability, and Odds
#1 9P3 504
#2 8C2 28
#3 You have 6 shirts, 7 pairs of pants, and 3 pairs of shoes. How many different outfits can you wear? 126 outfits
#4 You randomly pick two marbles from a bag containing 3 yellow marbles and 4 red marbles. You pick a second marble without replacing the first marble. P(red then red)? 2/7
#5 You randomly pick two marbles from a bag containing 3 yellow marbles and 4 red marbles. What are the odds that you pick a yellow marble? 3/4
Final Question
Write an equation for the line that is parallel to y = 5x + 4 and passes through the point (0, 9). y = 5x + 9
Answer: 202020202020202020202020202020202
Step-by-step explanation:
